International Journal of Mathematics and Mathematical Sciences
Volume 2009 (2009), Article ID 468290, 24 pages
doi:10.1155/2009/468290
On an inequality of Diananda. IV.
Peng Gao
Division of Mathematical Sciences, School of Physical and Mathematical Sciences, Nanyang Technological University, 637371, Singapore
Abstract
We extend the results in parts I-III on certain inequalities involving the weighted power means as well as the symmetric means. These inequalities can be largely viewed as concerning the bounds for ratios of differences of means and can be traced back to the work of Diananda.